Search a number
-
+
224505225440001 = 32112206157231809
BaseRepresentation
bin110011000010111110110010…
…001101100110101100000001
31002102220111020011120211111200
4303002332302031212230001
5213411243200203040001
62113252135440131413
765200652526621162
oct6302766215465401
91072814204524450
10224505225440001
1165597149a15900
122121a749906b69
1398369a0c6b52c
143d6217a3cb769
151ae4d6964c086
hexcc2fb2366b01

224505225440001 has 18 divisors (see below), whose sum is σ = 356445853799490. Its totient is φ = 136063772993280.

The previous prime is 224505225439997. The next prime is 224505225440029. The reversal of 224505225440001 is 100044522505422.

224505225440001 is a `hidden beast` number, since 2 + 2 + 45 + 0 + 522 + 54 + 40 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224413852241601 + 91373198400 = 14980449^2 + 302280^2 .

It is not a de Polignac number, because 224505225440001 - 22 = 224505225439997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224505225440071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103078614816 + ... + 103078616993.

It is an arithmetic number, because the mean of its divisors is an integer number (19802547433305).

Almost surely, 2224505225440001 is an apocalyptic number.

It is an amenable number.

224505225440001 is a deficient number, since it is larger than the sum of its proper divisors (131940628359489).

224505225440001 is a wasteful number, since it uses less digits than its factorization.

224505225440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206157231837 (or 206157231823 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 224505225440001 its reverse (100044522505422), we get a palindrome (324549747945423).

The spelling of 224505225440001 in words is "two hundred twenty-four trillion, five hundred five billion, two hundred twenty-five million, four hundred forty thousand, one".

Divisors: 1 3 9 11 33 99 121 363 1089 206157231809 618471695427 1855415086281 2267729549899 6803188649697 20409565949091 24945025048889 74835075146667 224505225440001